DTIC ADA113912: Comparison of Parabolized Vorticity and Navier-Stokes Solutions in a Mildly Nonorthogonal Coordinate System.
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DTIC ADA113912: Comparison of Parabolized Vorticity and Navier-Stokes Solutions in a Mildly Nonorthogonal Coordinate System.
- Publication date
- 1982-02-17
- Topics
- DTIC Archive, Hoffman,G H, PENNSYLVANIA STATE UNIV UNIVERSITY PARK APPLIED RESEARCH LAB, *Diffusers, *Nozzle gas flow, *Vortices, Navier Stokes equations, Laminar flow, Two dimensional flow, Mapping(Transformations), Coordinates, Parabolas, Solutions(General), Splines(Geometry), Finite difference theory, Relaxation, Convergence, Friction, Walls, Coefficients,
- Collection
- dticarchive; additional_collections
- Language
- English
Two-dimensional, steady, incompressible, laminar flow in a diffuser and nozzle is considered as a model problem. A sheared mapping is used to provide a rectangular, wall-fitted, computational domain. This transformation produces a mildly nonorthogonal coordinate system in which the Navier-Stokes equations and parabolized vorticity approximation are solved. The discretization uses fourth-order accurate polynomial splines to resolve the wall boundary layer with a relatively sparse grid and standard finite differences in the main stream direction. The spline-finite difference equations are solved by line relaxation and Newton-Raphson iteration. Comparison of Navier-Stokes and parabolized vorticity results are presented for two diffusers (both with separation and reattachment of the boundary layer) and one nozzle flow. The parabolized and Navier-Stokes solutions are found to be in excellent agreement. Comparisons with a published parabolized result are also given. (Author)
- Addeddate
- 2018-01-04 07:34:46
- Foldoutcount
- 0
- Identifier
- DTIC_ADA113912
- Identifier-ark
- ark:/13960/t7tn3n20m
- Ocr_converted
- abbyy-to-hocr 1.1.37
- Ocr_module_version
- 0.0.21
- Page_number_confidence
- 17
- Page_number_module_version
- 1.0.3
- Pages
- 37
- Ppi
- 300
- Year
- 1982
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